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Finding the Fourth Proportional to 285,972.52, 429,010.62 and 86,284.84

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Solution

The fourth proportional to 285,972.52, 429,010.62 and 86,284.84 is: 129,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,972.52 : 429,010.62 = 86,284.84 : x
  2. Step 2: Convert to fraction form
    285,972.52/429,010.62 = 86,284.84/x
  3. Step 3: Cross multiply
    285,972.52x = 429,010.62 × 86,284.84
  4. Step 4: Simplify right side
    285,972.52x = 37,017,112,705.00
  5. Step 5: Solve for x
    x = 37,017,112,705.00/285,972.52
  6. Step 6: Final answer
    x = 129,442.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.